Neutrino Oscillations with Nil Mass

TL;DR

This paper proposes an alternative neutrino oscillation mechanism that does not require neutrino mass differences, using a quantum trajectories approach based on Hamilton-Jacobi theory, challenging the conventional mass-based explanation.

Contribution

It introduces a novel neutrino oscillation process compatible with the standard model, eliminating the need for neutrino mass differences and employing a quantum trajectories framework.

Findings

Neutrino oscillations can occur without neutrino mass differences.

The quantum trajectories approach provides a consistent explanation within the standard model.

Flavor and antineutrino oscillations are analyzed without mass assumptions.

Abstract

An alternative neutrino oscillation process is presented as a counterexample for which the neutrino may have nil mass consistent with the standard model. The process is developed in a quantum trajectories representation of quantum mechanics, which has a Hamilton-Jacobi foundation. This process has no need for mass differences between mass eigenstates. Flavor oscillations and $\bar{\nu},\nu$ oscillations are examined.